固有値・固有ベクトルによる区分的2次線形システムの安定条件

抄録

This paper considers stability of piecewise linear second-order systems. We analyze the trajectory of the systems by using eigenvalues and eigenvectors of coefficient matrices of subsystems. For the case where the coefficient matrices have complex eigenvalues, we present the necessary and sufficient condition for the piecewise linear systems to be stable.